Finding the Fourth Proportional to 3,878.74, 5,827.83 and 3,645.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,878.74 : 5,827.83 = 3,645.46 : x
2. Step 2: Convert to fraction form
   3,878.74/5,827.83 = 3,645.46/x
3. Step 3: Cross multiply
   3,878.74x = 5,827.83 × 3,645.46
4. Step 4: Simplify right side
   3,878.74x = 21,245,121.15
5. Step 5: Solve for x
   x = 21,245,121.15/3,878.74
6. Step 6: Final answer
   x = 5,477.33